Search Results - "Rudzko, J. V."

Classical Solution of the Second Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential, we consider a mixed problem in the first quadrant in which the Cauchy conditions are specified on the…”
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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential in a curvilinear quadrant, we consider a mixed problem with the Cauchy conditions on a spatial half-line…”
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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…For the telegraph equation with a nonlinear potential given in the first quadrant, we consider a mixed problem in which the Cauchy conditions are specified on…”
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Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation by V. A. Korzyuk, J. V. Rudzko

“…For a nonstrictly hyperbolic mildly quasilinear biwave equation in the first quadrant, an initial-boundary value problem with the Cauchy conditions specified…”
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Classical Solution to the Cauchy Problem for a Semilinear Hyperbolic Equation in the Case of Two Independent Variables by Korzyuk, V. I., Rudzko, J. V.

“…In the upper half-plane, we consider a semilinear hyperbolic partial differential equation of order higher than two. The operator in the equation is a…”
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Problem of Longitudinal Vibrations of a Maxwell-Type Viscoelastic Rod by Korzyuk, V. I., Rudzko, J. V., Kolyachko, V. V.

“…Well-posedness in the sense of Hadamard is examined for the Cauchy problem of a one-dimensional hyperbolic system of partial differential equations describing…”
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Classical and Mild Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I., Rudzko, J. V.

“…We study the first mixed problem for the telegraph equation with a nonlinear potential in the first quadrant. We pose the Cauchy conditions on the lower base…”
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Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of second-order by Korzyuk, V. I, Rudzko, J. V

“…Eurasian Mathematical Journal, 2024, vol. 15, no. 2, pp. 61--74 In this paper, we discuss some of the important qualitative properties of solutions of…”
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On the Absence and Non-Uniqueness of Classical Solutions of Mixed Problems for the Telegraph Equation with a Nonlinear Potential by Korzyuk, V. I, Rudzko, J. V

“…For the telegraph equation with a nonlinear potential given in the first quadrant, we consider the first and the second mixed problem, for which we study…”
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